Find the minimum and maximum values of the objective function subject to the given constraints?

Question

Objective Function: C=4x+5y
Constraints: x>=0, y>=0, x+y<=6

Answer 1

My experience tells me to test the corners: (0,0); (0,6); (6,0)

C(0,0)=0
C(6,0)=24
C(0,6)=30